\select@language {french}
\contentsline {chapter}{\numberline {1}Contexte g\'en\'eral du projet et position du probl\`eme}{3}{chapter.1}
\contentsline {section}{\numberline {1.1}Arithm\'etique virgule fixe}{3}{section.1.1}
\contentsline {subsection}{\numberline {1.1.1}Les diff\'erents types de repr\'esentations}{3}{subsection.1.1.1}
\contentsline {subsubsection}{\numberline {1.1.1.1}Repr\'esentation des entiers}{3}{subsubsection.1.1.1.1}
\contentsline {paragraph}{Repr\'esentation signe plus valeur absolue}{3}{section*.3}
\contentsline {paragraph}{Repr\'esentation en compl\'ement \`a deux}{3}{section*.4}
\contentsline {subsubsection}{\numberline {1.1.1.2}Repr\'esentation virgule fixe}{4}{subsubsection.1.1.1.2}
\contentsline {subsubsection}{\numberline {1.1.1.3}Repr\'esentation virgule flottante}{5}{subsubsection.1.1.1.3}
\contentsline {subsection}{\numberline {1.1.2}R\`egles de l'arithm\'etique virgule fixe}{6}{subsection.1.1.2}
\contentsline {subsubsection}{\numberline {1.1.2.1}Addition}{6}{subsubsection.1.1.2.1}
\contentsline {subsubsection}{\numberline {1.1.2.2}Multiplication}{6}{subsubsection.1.1.2.2}
\contentsline {section}{\numberline {1.2}Codage en virgule fixe}{7}{section.1.2}
\contentsline {subsection}{\numberline {1.2.1}D\'etermination de la dynamique des donn\'ees}{7}{subsection.1.2.1}
\contentsline {subsubsection}{\numberline {1.2.1.1}M\'ethodes par simulation}{7}{subsubsection.1.2.1.1}
\contentsline {subsubsection}{\numberline {1.2.1.2}M\'ethodes analytiques}{8}{subsubsection.1.2.1.2}
\contentsline {subsection}{\numberline {1.2.2}D\'etermination de la position de la virgule}{8}{subsection.1.2.2}
\contentsline {subsubsection}{\numberline {1.2.2.1}R\`egles de d\'etermination de la position}{8}{subsubsection.1.2.2.1}
\contentsline {subsection}{\numberline {1.2.3}D\'etermination de la longueur des donn\'ees}{10}{subsection.1.2.3}
